MATH 1127 - PreCalculus
5 Credits Prepares students for Calculus I (MATH 1133 ). Topics include the study of algebraic, exponential, logarithmic, and trigonometric functions; graphing functions using transformations; inverse functions; polynomial, exponential, logarithmic, and trigonometric equations; applied problems; trigonometric identities. Time permitting, building models from data may be included. Use of technology will be embedded throughout the course.
Pre-Requisites MATH 0940
Major Content Areas Trigonometric Functions: Definitions, graphs, & inverses 23%
Use of technology will be embedded throughout.
Polynomial & rational eq’ns, inequalities, functions, graphs, & applied problems 17%
Exponential and logarithmic equations, functions, graphs, & applied problems 17%
Graphing functions using transformations & characteristics of functions 20%
Trigonometric identities, equations, & applied problems 23%
Learning Outcomes Analyze data and use technology to find functions which best describe the data, time permitting.
Find the inverse of a one to one function.
Solve oblique and right triangles.
Use technology to analyze graphs and solve applied problems.
Verify trigonometric identities.
Solve applied problems using polynomial, exponential, logarithmic, and trigonometric functions.
Graph absolute value, reciprocal, square root, greatest integer, rational, exponential, and logarithmic functions using transformations; graph piecewise defined functions; graph polynomials by finding and using the zeros and their multiplicities.
Perform the algebra of functions: sum, difference, product, quotient, and composition.
Solve polynomial and rational inequalities.
Demonstrate an understanding of functions and characteristics of functions such as domain, range, intervals of increase and decrease, asymptotes, intercepts, average rate of change over a given interval, and symmetry. Students will investigate these characteristics from both analytical and graphical perspectives.
Solve polynomial, exponential, logarithmic, and trigonometric equations.
Minnesota Transfer Curriculum (MNTC) Goals 04 - Mathematical/Logical Reasoning
02 - Critical Thinking
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